What is the Least Common Multiple of 54085 and 54097?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 54085 and 54097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54085 and 54097, than apply into the LCM equation.

GCF(54085,54097) = 1
LCM(54085,54097) = ( 54085 × 54097) / 1
LCM(54085,54097) = 2925836245 / 1
LCM(54085,54097) = 2925836245

Least Common Multiple (LCM) of 54085 and 54097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54085 and 54097. First we will calculate the prime factors of 54085 and 54097.

Prime Factorization of 54085

Prime Factorization of 54097

Now multiplying the highest exponent prime factors to calculate the LCM of 54085 and 54097.

LCM(54085,54097) = 5¹ × 29¹ × 373¹ × 47¹ × 1151¹
LCM(54085,54097) = 2925836245